Finding the Third Proportional to 82,778.16 and 175,417.05

Step by Step Solution

1. Step 1: Write the proportion equation
   82,778.16 : 175,417.05 = 175,417.05 : x
2. Step 2: Convert to fraction form
   82,778.16/175,417.05 = 175,417.05/x
3. Step 3: Cross multiply
   82,778.16x = 175,417.05 × 175,417.05
4. Step 4: Simplify right side
   82,778.16x = 30,771,141,019.57
5. Step 5: Solve for x
   x = 30,771,141,019.57/82,778.16
6. Step 6: Final answer
   x = 371,730.17